Sign in to jmaths to print this page or save it as a PDF: jmaths-8ce638778fd6.herokuapp.com/maths/ai-sl/geometry-trigonometry/12-10-11/problems/

jmaths

IB Mathematics: Applications and Interpretation SL · 12.10: Geometry & Trigonometry · 12.10.11

Name Date

Grazing goat problems I: sectors round a shed Problem set A

Draw a sketch and split the grazed region into sectors. Give areas in m² to 3 significant figures unless a question says otherwise.

Difficulty: first skills applying them stretch

Skills

  1. A goat is tied by a 5 m rope to the corner of a shed that measures 9 m by 7 m. Find the area of grass the goat can graze.

  2. A goat is tied by a 17 m rope to a corner of a shed that measures 14 m by 9 m. Find the area of grass it can graze.

    14 m9 m17 mX

  3. A shed measures 14 m by 10 m. A goat is tied by a 12 m rope to a hook on a 14 m wall, 4 m from the nearest corner. Find the area of grass the goat can graze.

    14 m10 m12 mX

In context

  1. A goat is tied by a 10 m rope to a corner of a shed that measures 12 m by 8 m. The rope is longer than the short wall and shorter than the long wall. Find the area of grass the goat can graze.

    12 m8 m10 mX

jmaths.xyz · AI SL · 12.10.11 Grazing goat problems: sectors round a shed